114432221200 has 120 divisors (see below), whose sum is σ = 304393597920. Its totient is φ = 40990540800.

The previous prime is 114432221173. The next prime is 114432221243. The reversal of 114432221200 is 2122234411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100716 + ... + 488884.

It is an arithmetic number, because the mean of its divisors is an integer number (2536613316).

Almost surely, 2^114432221200 is an apocalyptic number.

114432221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114432221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152196798960).

114432221200 is an abundant number, since it is smaller than the sum of its proper divisors (189961376720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114432221200 is a wasteful number, since it uses less digits than its factorization.

114432221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388265 (or 388254 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 114432221200 its reverse (2122234411), we get a palindrome (116554455611).

The spelling of 114432221200 in words is "one hundred fourteen billion, four hundred thirty-two million, two hundred twenty-one thousand, two hundred".